Brian has $160 in his savings account. He deposits $25 every week and withdraws $30 every 3 weeks. What will his balance be in 4 weeks?
$160 + ($25*4) - $30 = ?
Let's break down Brian's savings account activity week by week for the next 4 weeks:
Week 1: Brian has $160.
Week 2: Brian deposits $25, so his balance becomes $160 + $25 = $185.
Week 3: Brian deposits $25 again, so his balance becomes $185 + $25 = $210.
Week 4: Brian deposits $25 once more, so his balance becomes $210 + $25 = $235.
Now let's consider the withdrawals:
After 3 weeks, Brian will make a withdrawal of $30. So his balance after 3 weeks will be $235 - $30 = $205.
Therefore, Brian's balance after 4 weeks will be $205.
Thus, his balance will be $205 in 4 weeks.
To determine Brian's balance in 4 weeks, we need to calculate how many times he will make deposits and withdrawals in that time frame.
First, let's calculate how many times Brian makes deposits. Since he deposits $25 every week, in 4 weeks, he will make 4 deposits:
$25 x 4 = $100
Next, let's calculate how many times Brian makes withdrawals. Since he withdraws $30 every 3 weeks, in 4 weeks, he will have made 4/3 = 1 full withdrawal. Therefore, he will make one withdrawal of $30.
Now, let's calculate the net effect of the deposits and withdrawals. Brian will deposit a total of $100 and withdraw $30, so the overall effect on his balance is:
$100 - $30 = $70
Lastly, we need to add the net effect to Brian's initial balance of $160 to find his balance after 4 weeks:
$160 + $70 = $230
Therefore, Brian's balance will be $230 in 4 weeks.